發(fā)布時(shí)間：2018-01-02 11:20

  本文關(guān)鍵詞：基于擬線性積分方程法的三維電磁場數(shù)值模擬精度分析　出處：《吉林大學(xué)學(xué)報(bào)(地球科學(xué)版)》2017年04期 　論文類型：期刊論文

  更多相關(guān)文章： 擬線性近似 擬解析近似 局部擬線性近似 精度對(duì)比

【摘要】：應(yīng)用于大規(guī)模三維數(shù)據(jù)反演的擬線性近似方法的計(jì)算精度和應(yīng)用范圍至今仍是一個(gè)比較模糊的概念。本文首先實(shí)現(xiàn)了基于擬線性近似方法(對(duì)角擬線性近似、標(biāo)量擬線性近似、擬解析近似和局部擬線性近似)的三維電磁場數(shù)值模擬,然后通過正演計(jì)算,對(duì)這些方法的計(jì)算精度進(jìn)行了系統(tǒng)的對(duì)比研究。理論研究結(jié)果表明:對(duì)角擬線性近似方法精度最高,適用范圍最廣,對(duì)電性變化在3~4個(gè)數(shù)量級(jí)內(nèi)的地電模型都能給出精確的計(jì)算結(jié)果;擬解析近似方法計(jì)算精度只低于對(duì)角擬線性近似方法,它適用于異常電導(dǎo)率與背景電導(dǎo)率比值為2~3個(gè)數(shù)量級(jí)的地電模型;標(biāo)量擬線性近似方法和局部擬線性近似方法的精度較低,只適用于異常電導(dǎo)率與背景電導(dǎo)率比值小于2個(gè)數(shù)量級(jí)的情況。
[Abstract]:The accuracy and application range of quasilinear approximation method for large scale 3D data inversion is still a relatively fuzzy concept. In this paper, the quasi-linear approximation based on quasilinear approximation (diagonal quasilinear approximation) is first implemented. Three dimensional electromagnetic field numerical simulation of scalar quasilinear approximation, quasi analytic approximation and local quasilinear approximation) is carried out, and then the forward calculation is carried out. The theoretical results show that the diagonal quasilinear approximation method has the highest accuracy and the widest range of application. The geoelectric model with electrical variation in the range of 3 ~ 4 orders of magnitude can be calculated accurately. The accuracy of the quasi-analytical approximation is only lower than that of the diagonal quasi-linear approximation. It is suitable for geoelectric models with the ratio of anomalous conductivity to background conductivity of 2 ~ 3 orders of magnitude. The precision of scalar quasilinear approximation method and local quasi-linear approximation method is low, which is only suitable for cases where the ratio of anomalous conductivity to background conductivity is less than two orders of magnitude.
【作者單位】： 吉林大學(xué)地球探測科學(xué)與技術(shù)學(xué)院;
【基金】：國家深部探測技術(shù)與實(shí)驗(yàn)研究專項(xiàng)(SinoProbe-03-05) 國家重大科學(xué)儀器設(shè)備開發(fā)專項(xiàng)(2011YQ05006009)~~
【分類號(hào)】：P631.325
【正文快照】： 0引言積分方程法在計(jì)算總場時(shí)形成的矩陣是稠密矩陣,對(duì)于小規(guī)模三維數(shù)值模擬,積分方程法占據(jù)著精度高和速度快的優(yōu)勢;但隨著異常區(qū)域規(guī)模的增大,積分方程法對(duì)內(nèi)存的需求和計(jì)算時(shí)間都會(huì)急劇增加,限制了該方法在三維反演中的應(yīng)用。為克服積分方程法這個(gè)缺點(diǎn),很多學(xué)者將目光放在，

本文編號(hào)：1368957